Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
Algebraic Geometry
2026-04-13 v1 High Energy Physics - Theory
Abstract
Dimensionally or analytically regulated Feynman integrals lead to relative twisted period integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for deriving the D-module of differential operators acting on the twisted differential forms from Feynman integrals. We illustrate the application of this algorithm by providing twisted Picard-Fuchs operators for hypergeometric, elliptic and Calabi-Yau differential motives arising from families of Feynman integrals.
Cite
@article{arxiv.2604.09129,
title = {Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals},
author = {Pierre Vanhove},
journal= {arXiv preprint arXiv:2604.09129},
year = {2026}
}
Comments
21 pages. This text is a contribution to the proceedings of the conference Regulators V, 3-13 juin 2024, Department of Mathematics, University of Pisa, Italy. Version to the published by the AMS in the Contemporary Mathematics series